General Intersection and Union of Neutrosophic Sets

(t1, i1, f1) + (t2, i2, f2) = = (max{t1, t2}, min{i1, i2}, min{f1, f2})

or

(t1, i1, f1) + (t2, i2, f2) = = (min{t1 + t2, 1}, max{i1 + i2 - 1, 0}, max{f1 + f2 - 1, 0}) Respectively:

(t1, i1, f1)  (t2, i2, f2) = = (min{t1, t2}, max{i1, i2}, max{f1, f2})

or

(t1, i1, f1)  (t2, i2, f2) = = (max{t1 + t2 - 1, 0}, min{i1 + i2, 1}, min{f1 + f2, 1}) Also, can you find some applications to the subtraction and division of neutrosophic numbers?

General Intersection and Union of Neutrosophic Sets

To Mumtaz Ali For the intersection and union of neutrosophic sets, the most general definitions are: (t1, i1, f1) N (t2, i2, f2) = (t1 F i1, f1 N f2, i1 N i2) (t1, i1, f1) N (t2, i2, f2) = (t1 N i1, f1 F f2, i1 F i2) where F is the (fuzzy) t-norm, and N is the (fuzzy) tconorm both from fuzzy set and logic. So we can use for F / N respectively: min{t1, t2} / max{t1, t2} t1t2 / t1+t2-t1t1